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31531is an odd number,as it is not divisible by 2
The factors for 31531 are all the numbers between -31531 and 31531 , which divide 31531 without leaving any remainder. Since 31531 divided by -31531 is an integer, -31531 is a factor of 31531 .
Since 31531 divided by -31531 is a whole number, -31531 is a factor of 31531
Since 31531 divided by -1 is a whole number, -1 is a factor of 31531
Since 31531 divided by 1 is a whole number, 1 is a factor of 31531
Multiples of 31531 are all integers divisible by 31531 , i.e. the remainder of the full division by 31531 is zero. There are infinite multiples of 31531. The smallest multiples of 31531 are:
0 : in fact, 0 is divisible by any integer, so it is also a multiple of 31531 since 0 × 31531 = 0
31531 : in fact, 31531 is a multiple of itself, since 31531 is divisible by 31531 (it was 31531 / 31531 = 1, so the rest of this division is zero)
63062: in fact, 63062 = 31531 × 2
94593: in fact, 94593 = 31531 × 3
126124: in fact, 126124 = 31531 × 4
157655: in fact, 157655 = 31531 × 5
etc.
It is possible to determine using mathematical techniques whether an integer is prime or not.
for 31531, the answer is: yes, 31531 is a prime number because it only has two different divisors: 1 and itself (31531).
To know the primality of an integer, we can use several algorithms. The most naive is to try all divisors below the number you want to know if it is prime (in our case 31531). We can already eliminate even numbers bigger than 2 (then 4 , 6 , 8 ...). Besides, we can stop at the square root of the number in question (here 177.57 ). Historically, the Eratosthenes screen (which dates back to Antiquity) uses this technique relatively effectively.
More modern techniques include the Atkin screen, probabilistic tests, or the cyclotomic test.
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